Math Problem Statement

just the answers

Use rules of logarithms to combine into a single logarithm (if necessary), then solve for x. log(x) = 6

Solution

To solve the equation:

log(x)=6\log(x) = 6

we need to rewrite it in exponential form. Since log(x)\log(x) typically implies a base of 10, we convert it as follows:

x=106x = 10^6

So, the answer is:

x=1,000,000x = 1,000,000

Let me know if you need further details or have questions.


Related Questions:

  1. How would the solution change if the base of the logarithm were different, such as base 2?
  2. What if the equation were log(x)=6\log(x) = -6?
  3. How can you check the answer to a logarithmic equation?
  4. How do you solve log(x+2)=6\log(x + 2) = 6?
  5. What are the steps for solving an equation like ln(x)=6\ln(x) = 6?

Tip: Always confirm the base of the logarithm when solving equations, as it can change the solution dramatically.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Equations

Formulas

log(x) = y is equivalent to x = 10^y

Theorems

Properties of Logarithms

Suitable Grade Level

Grades 10-12